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Finding the Fourth Proportional to 216,661.42, 299,067.92 and 148,902.70

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Solution

The fourth proportional to 216,661.42, 299,067.92 and 148,902.70 is: 205,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,661.42 : 299,067.92 = 148,902.70 : x
  2. Step 2: Convert to fraction form
    216,661.42/299,067.92 = 148,902.70/x
  3. Step 3: Cross multiply
    216,661.42x = 299,067.92 × 148,902.70
  4. Step 4: Simplify right side
    216,661.42x = 44,532,020,771.38
  5. Step 5: Solve for x
    x = 44,532,020,771.38/216,661.42
  6. Step 6: Final answer
    x = 205,537.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.